This graph shows the function f (x) = 6x -12 and g(x)=(1/2)x -4



What are the solutions of the equation -6x -12= (1/2)x -4?

The slope intercept form of the equation is given as y = 0.75x + 1.75

The slope-intercept form of a line is given by y = mx + b, where m is the slope and b is the y-intercept.

In this case, the slope (m) is the cost per taco, which is $0.75. The y-intercept (b) is the cost of the drink, which is $1.75.

So, the equation that represents the total cost (y) for x number of tacos and a drink is:

y = 0.75x + 1.75

This equation states that for every taco ordered (x), the cost will increase by $0.75, and the minimum cost will always be $1.75 for the drink.

Read more on slope intercept form here:https://brainly.com/question/1884491

#SPJ1

Lisa's remaining of her monthly income is $490. Her net worth is $142.980. Her saving ratio is 17%, liquidity ratio is 23% and Debt-to-asset ratio is 63%.

Based on the given data, we can construct Lisa's personal cash flow statement and personal balance sheet as:

Personal Cash Flow Statement

Cash Inflow:

Cash Outflow:

Debts:

Living expenses:

Total cash = $490

Personal Balance Sheet

Assets:

Total Assets = $383,140

Liabiities:

Total Liabilties = $240,160

Net worth = $142,980

Saving ratio can be calculated by assuming that the amount of Lisa's cash on bank is her saving. Then:

saving ratio = saving : net income

Saving ratio = cash in bank : net income

Saving ratio = $600 : $3,600

Saving ratio = 17%

Liquidity ratio is calculated by comparing Lisa's current assets with her net worth. Hence:
Liquidity ratio = Current assets : Net worth

Liquidity ratio = (Cash in bank + Car + Clothing owned + Furniture) : Net worth

Liquidity ratio = ($600 + $18,000 + $540 + $14,000) : $142,980

Liquidity ratio = 23%

Debt-to-asset ratio = Total Liabilities  : Total Assets

Debt-to-asset ratio = $383,140 : $240,160

Debt-to-asset ratio = 63%

Learn more about Net Worth here: brainly.com/question/13731427

#SPJ1

Answer:

X=15

Step-by-step explanation:

Solving the provided question, we can say that Using quadratic formula, x = 19 or x = 3; Sum of the 2 numbers = 3 + 19 = 22

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.

Let x represent a number that is twice as far away from 5 than 17.

|x - 5| = 2|x - 17|

(x - 5)² = 4(x - 17)²

[tex]x^2 + 25 - 10x = 4(x^2 + 49 - 14x)\\x^2 + 25 - 10x = 4x^2 + 196 - 56x\\3x^2 - 46x + 171 = 0\\[/tex]

Using quadratic formula,

x = 19 or x = 3

Sum of the 2 numbers = 3 + 19 = 22

To know more about quadratic equation visit:

https://brainly.com/question/30098550

#SPJ1

The values of {x} are given above upto 2³.

Given is that x = 2 and x = 3.

We can write -

2³ = 8

x = 1                  x = 2

x = 3                 x = 4

x = 5                 x = 6

x = 7                 x = 8

Therefore, the values of {x} are given above upto 2³.

To solve more questions on algebraic expressions, visit the link below-

brainly.com/question/1041084

#SPJ1

Answer:

Dina =z gerbils

Jacki =4z

W = 4z

Independent:z

Dependeny:w

Step-by-step explanation:

I think it's right

There are 50 hundredths in the fraction 5/10.

In Mathematics, a place value can be defined as a numerical value (number) which denotes a digit based on its position in a given number and it includes the following:

From the information provided about the numerical value, we have:

5/10 = 0.5.

Note: 1 hundredth is equal to 1/100 = 0.01.

Therefore, by dividing 0.5 by 0.01 we have:

Number of hundredths = 0.5/0.01 = 50.

In conclusion, 5 tenths or 5/10 is equivalent to 50 hundredths.

Read more on place value here: brainly.com/question/569339

#SPJ1

Answer: 4 and 1

Step-by-step explanation:

the expression 4x² + x + 3.
the coefficients are 4 and 1
so the answer is 4 and 1
because 4 is the quadratic coefficient and 1 is the primary term coefficent

Answer:

3 terms

4 and 1 coefficients

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

He wants to DIVIDE the 3/4 gallon into 5 bux

 so divide 3/4 by 5

3/4  /  5 = (3/4) / (5/1) = 3/4 * 1/5 = (3*1) / ( 5*4) = 3/20 gallon per bux

The amount of paint that Ralph store in each container is 3/20 gallon.

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

Total amount of paint that Ralph has = 3/4 gallon

He wants to store all of the paint equally among 5 containers.

If the paint is stored in 5 containers,

Amount of paint in each container = 3/4 ÷ 5

                                                         = 3/4 × 1/5

                                                         = 3/20

Hence 3/20 gallon of paint is stored in each container.

Learn more about Division here :

https://brainly.com/question/7279598

#SPJ2

The shortest distance  from A to B in the figure is length AB, So Option A is correct

The smallest (straight line) distance between a body's beginning position and its final location—represented by an arrow pointing from starting position to final position—is referred to as a body's displacement as it moves from one position to another. Being a vector quantity, it.

Given that,

A quadrilateral figure ABCD

and it has one diagonal BD

Shortest distance from A to B  =?

Possible paths, For A to B

1. Directly A to B

Distance = AB

2. A to D then D to B

Distance =  AD + DB

3.   A to D then D to C and then C to A

Distance =  AD + DC + CA

It can be seen that distance covered is lesser in case 1 in compare to case 2 & 3

Hence, the shortest distance is  AB

To know more about displacement check:

https://brainly.com/question/20558897

#SPJ1

The car can travel 528 miles on a one full tank gas that averages 44 miles per gallon.

In mathematics, the central value of a set of data is expressed as the average of a list of data. It is defined mathematically as the ratio of the total number of data points to the number of units in the list. In terms of statistics, the term "mean" also refers to the average of a certain set of numerical data.

Given that, Juanita has a hybrid car that averages 44 miles per gallon.

Her car has a 12-gallon tank.

So, the car travels:

(12) (44) = 528 miles.

Hence, the car can travel 528 miles on a one full tank gas.

Learn more about average here:

https://brainly.com/question/24057012

#SPJ1

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

[tex]\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill\\\\ f(x)= 7x^2-6 \qquad \begin{cases} x_1=4\\ x_2=b \end{cases}\implies \cfrac{f(b)-f(4)}{b - 4} \\\\\\ \cfrac{(7b^2-6)~~ - ~~(7(4)^2-6)}{b-4}\implies \cfrac{7b^2-6~~ - ~~(112-6)}{b-4} \implies \cfrac{7b^2-112}{b-4}[/tex]

[tex]\cfrac{7(b^2-16)}{b-4}\implies \cfrac{7(b^2-4^2)}{b-4}\implies \cfrac{7~~\begin{matrix} (b-4) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(b+4)}{~~\begin{matrix} b-4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\implies \boxed{7(b+4)}[/tex]

This expression gives the average rate of change of the function over the interval [4, b].

The average rate of change of a function on an interval is equal to the rise (change in the y-value) divided by the run (change in the x-value) over that interval.

For f(x) = 7x² - 6 on the interval [4, b], the average rate of change can be found by calculating the slope of the secant line connecting the points (4, f(4)) and (b, f(b)).

Therefore, the average rate of change of f(x) = 7x² - 6 on the interval [4, b] is:

(7b² - 6 - (7(4)² - 6)) / (b - 4) = (7b² - 28) / (b - 4)

Learn more about quadratic equation here:

brainly.com/question/30098550

#SPJ1

The dimensions for a square that has a perimeter of 14 units and area or 49 units² will be 7 units by 7 units.

The perimeter of a shape is simply the total length of the boundary that the shape has. It should be noted that in this case, it's gotten by adding all the length that the shape has.

The area of a shape simply means the total space that is taken by the shape. It simply expresses the extent of the region on a particular plane as well as a curved surface.

In this situation, the square has a perimeter of 14 units and area or 49 units². The dimensions will be 7 units by 7 units.

Learn more about area on

brainly.com/question/25292087

#SPJ1

The percent of people satisfied with the survey is 55%

A percentage is a number or ratio that can be expressed as a fraction of 100.

Given that, in a survey of 1,600 people who owned a certain type of​ car, 880 said they would buy that type of car again, we need to find what percent of the people surveyed were satisfied with the​ car,

The percent of people satisfied with the survey = 880 / 1600 × 100

= 55%

Hence, the percent of people satisfied with the survey is 55%

Learn more about percent, click;

https://brainly.com/question/28840349

#SPJ1

On solving the provided question, we can say that all the factors of 30 on the hundred chart are = 1,2,3,5,6,10,15,30 and mistake he made was he didn't mark = 2,6,10,30

In mathematics, the integer m serves as the divisor (also known as factor n) of an integer n, which may be multiplied by the integers to get n. We may also state that n in this situation is a multiple of m. A number without a residue that divides another number is said to be a factor. In other words, if you multiply two integers to create a product, the numbers you multiply are factors of the product since the result is divisible by the numbers you multiply. Factors can be found using either division or multiplication.

all the factors of 30 on the hundred chart are = 1,2,3,5,6,10,15,30

mistake he made was he didn't mark = 2,6,10,30

To know more about factor visit:

https://brainly.com/question/29128446

#SPJ1

The area of the rectangular closet is given by the equation A = 64 feet²

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangular closet be represented as A

Now , the equation will be

The area of 1 carpet square = 1 foot²

The number of rows = 4 rows

The number of carpet square in each row = 16 carpet squares

So , the total number of carpet squares in 4 rows = number of rows x number of carpet square in each row

Substituting the values in the equation , we get

The total number of carpet squares in 4 rows = 16 x 4 = 64 carpet squares

So , the area of 64 carpet squares = 64 x area of 1 carpet square

Substituting the values in the equation , we get

The area of the rectangular closet A = 64 feet²

Hence , the area of the rectangular floor is 64 feet²

To learn more about area of rectangle click :

https://brainly.com/question/15225905

#SPJ1

Answer:

A. 1436.03 ft³

Step-by-step explanation:

V = (4/3)πr³

V = (4/3)(3.14)(7 ft)³

V = 1436.03 ft³

Answer:

over 18

Step-by-step explanation:

Answer:

increased the maximum score from 1600 to 2400: 800 points were awarded for math, reading, and writing sections.

Step-by-step explanation:

Answer:

Thus, the equation of line for point (-1, 2)  is y = x + 3.

Step-by-step explanation:

Answer:

The equation of the line is y = x + 3.

Step-by-step explanation:

A line that is parallel to y=x+4 and passes through the point (-1,2) will have the same slope as y=x+4. The slope of y=x+4 is 1, so the equation of the line will be in the form y = mx + b, where m=1. To find b, we can plug in x = -1 and y = 2 into the equation and solve for b.

y = mx + b

y = 1 * -1 + b

y = -1 + b

b = y + 1

b = 2 + 1

b = 3

The median wage of workers in the firm is given as follows:

Rs 2.37 per hour.

The median of a data-set is the middle value of a data-set, the value of which 50% of the measures are less than and 50% of the measures are greater than. Hence, the median also represents the 50th percentile of a data-set.

From the data-set in this problem, the median is obtained as follows:

Hence the median class is:

Rs 2.25 to Rs 2.49 per hour.

The median is the middle value of the class, hence:

(2.25 + 2.49)/2 = Rs 2.37 per hour.

More can be learned about the median of a data-set at brainly.com/question/3514929

#SPJ1

Since the barber cuts 32 haircuts in 2 days, the rate for a ratio of the two different quantities include the following: C. 32 over 2 haircuts per day.

In Mathematics, a proportion simply refers to an equation which is typically used to represent the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

By applying direct proportion to the given information, we have the following mathematical expression:

32 haircuts = 2 days

1 haircut = (32/2) haircut per day

In this context, we can reasonably infer and logically deduce that the barber cuts 16 haircuts in a single day or per day.

Read more on ratio here: https://brainly.com/question/29177913

#SPJ1

Answer:

C: 32/2

Step-by-step explanation:

i took the exam :)

Answer:

28

Step-by-step explanation:

The constant variation, a, is equal to the product of x and y when they are both known. In this case, when x = 7 and y = 4, the constant variation is 4 * 7 = 28. So, the equation for the inverse variation is y = 28 / x.

The expression for the number of pencils she has left will be 100 - 2 × 22 - 2 × 19. Then the correct option is C. And yes, she has enough pencils.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Ms. Florinda is a kindergarten educator. She purchases 100 pencils and needs to give 2 pencils to every one of her understudies. She has 2 classes, a class with 22 understudies and a class with 19 understudies.

Then the expression is given as,

⇒ 100 - 2 × (22 + 19)

⇒ 100 - 2 × 22 - 2 × 19

⇒ 100 - 44 - 38

⇒ 18

The expression for the number of pencils she has left will be 100 - 2 × 22 - 2 × 19. Then the correct option is C. And yes, she has enough pencils.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

y=4 is the minimum y-value after which the exponential function will always be greater than the linear function.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

From the graph we can see that in the interval [0,1] the value of y is less than 1.

In the interval [1,2] the value of y value is 2 to 4.

In the interval [2,infinity) the graph is going up, and the value of y is greater than or equal to 4.

Therefore, the graph going up after y=4 above the line.

Therefore, the minimum y-value is 4 after which the exponential function will always be greater than the linear function.

Hence, y=4 is the minimum y-value after which the exponential function will always be greater than the linear function.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ1

Answer:

12 feet

Step-by-step explanation:

this is a rectangle! because DC = 16 feet, you know that AB is also equal to 16 feet

therefore, DA + CB = 24

because ABCD is a rectangle, you know that DA = CB and you can use substitution to say that CB + CB = 24

2CB = 24

CB = 12

Answer:

He is incorrect

Step-by-step explanation:

7n = 49

Isolate variable "n" by dividing both sides by 7:

n = 7

Since doing this step makes n to equal 7, [Ben is incorrect to say that n = 6]

Answer: false

Step-by-step explanation:

53/6, 203/10 and 73/5 rounded to the nearest whole number are 9, 20 and 15 respectively

Approximation is the process of using rounded values when presenting numerical data and making rough calculations.

The digits 1,2,3 and are rounded down and digits 5,6,7,8 and 9 are rounded up.

The numbers can be rounded to the nearest whole number as follows:

53/6 = 8.83 = 9          (round up)

203/10 = 20.3 = 20    (round down)

73/5 = 14.6 = 15           (round up)

Learn more about approximation on:

brainly.com/question/28128444

#SPJ1